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Instructor: Prof. David Jerison
This introductory calculus course covers differentiation and integration of functions of one variable, with applications.
Note: the review for the exam in lecture 7 is not comprehensive because the students already have practice exams available to them. There is no lecture 8 video because the exam was given during this session.
View the complete course at: http://ocw.mit.edu/18-01F06
License: Creative Commons BY-NC-SA
More information at http://ocw.mit.edu/terms
More courses at http://ocw.mit.edu
This movie is part of the collection: MIT OpenCourseWare
Producer: MIT OpenCourseWare
Audio/Visual: sound, color
Language: English
Keywords: differentiation; integration; functions; single variable; limits; continuity; differentiation rules; extremum problems; definite; indefinite; fundamental theorem of calculus; elementary; techniques of integration; approximation of definite integrals; improper integrals; l'Hôpital's rule
Creative Commons license: Attribution-Noncommercial-Share Alike 3.0
| Movie Files | MPEG4 | Ogg Video |
| Lecture 01: Derivatives, slope, velocity, rate of change |
112.0 MB
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212.6 MB
|
| Lecture 02: Limits, continuity; Trigonometric limits |
114.9 MB
|
212.5 MB
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| Lecture 03: Derivatives of products, quotients, sine, cosine |
108.5 MB
|
199.1 MB
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| Lecture 04: Chain rule; Higher derivatives |
100.4 MB
|
158.4 MB
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| Lecture 05: Implicit differentiation, inverses |
106.8 MB
|
196.1 MB
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| Lecture 06: Exponential and log; Logarithmic differentiation; hyperbolic functions |
104.4 MB
|
186.9 MB
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| Lecture 07: Hyperbolic functions and exam 1 review |
111.1 MB
|
195.2 MB
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| Lecture 09: Linear and quadratic approximations |
101.4 MB
|
190.6 MB
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| Lecture 10: Curve sketching |
112.3 MB
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215.1 MB
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| Lecture 11: Max-min problems |
108.9 MB
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176.2 MB
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| Lecture 12: Related rates |
108.3 MB
|
207.4 MB
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| Lecture 13: Newton's method and other applications |
116.1 MB
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221.0 MB
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| Lecture 14: Mean value theorem; Inequalities |
108.1 MB
|
205.4 MB
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| Lecture 15: Differentials, antiderivatives |
106.4 MB
|
201.0 MB
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| Lecture 16: Differential equations, separation of variables |
98.8 MB
|
187.7 MB
|
| Lecture 18: Definite integrals |
102.7 MB
|
195.1 MB
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| Lecture 19: First fundamental theorem of calculus |
104.8 MB
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200.8 MB
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| Lecture 20: Second fundamental theorem |
107.7 MB
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204.2 MB
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| Lecture 21: Applications to logarithms and geometry |
109.5 MB
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206.0 MB
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| Lecture 22: Volumes by disks and shells |
108.6 MB
|
206.0 MB
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| Lecture 23: Work, average value, probability |
105.7 MB
|
200.9 MB
|
| Lecture 24: Numerical integration |
109.8 MB
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209.5 MB
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| Lecture 25: Exam 3 review |
107.5 MB
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199.6 MB
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| Lecture 27: Trigonometric integrals and substitution |
101.7 MB
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192.3 MB
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| Lecture 28: Integration by inverse substitution; completing the square |
105.4 MB
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200.0 MB
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| Lecture 29: Partial fractions |
105.7 MB
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201.7 MB
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| Lecture 30: Integration by parts, reduction formulae |
111.8 MB
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211.8 MB
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| Lecture 31: Parametric equations, arclength, surface area |
98.7 MB
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188.8 MB
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| Lecture 32: Polar coordinates; area in polar coordinates |
107.3 MB
|
205.0 MB
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| Lecture 33: Exam 4 review |
106.9 MB
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199.0 MB
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| Lecture 35: Indeterminate forms - L'Hôspital's rule |
105.9 MB
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198.2 MB
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| Lecture 36: Improper integrals |
107.7 MB
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200.5 MB
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| Lecture 37: Infinite series and convergence tests |
109.2 MB
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209.2 MB
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| Lecture 38: Taylor's series |
103.4 MB
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194.2 MB
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| Lecture 39: Final review |
85.4 MB
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156.8 MB
|
| Image Files | Thumbnail | Animated GIF |
| Lecture 01: Derivatives, slope, velocity, rate of change |
4.0 KB
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410.4 KB
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| Lecture 02: Limits, continuity; Trigonometric limits |
4.3 KB
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410.9 KB
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| Lecture 03: Derivatives of products, quotients, sine, cosine |
4.6 KB
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416.7 KB
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| Lecture 04: Chain rule; Higher derivatives |
4.7 KB
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410.6 KB
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| Lecture 05: Implicit differentiation, inverses |
5.3 KB
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425.0 KB
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| Lecture 06: Exponential and log; Logarithmic differentiation; hyperbolic functions |
6.0 KB
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403.5 KB
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| Lecture 07: Hyperbolic functions and exam 1 review |
4.7 KB
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402.7 KB
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| Lecture 09: Linear and quadratic approximations |
6.2 KB
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403.1 KB
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| Lecture 10: Curve sketching |
4.1 KB
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434.3 KB
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| Lecture 11: Max-min problems |
4.8 KB
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410.0 KB
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| Lecture 12: Related rates |
5.0 KB
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426.9 KB
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| Lecture 13: Newton's method and other applications |
6.4 KB
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409.9 KB
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| Lecture 14: Mean value theorem; Inequalities |
4.8 KB
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408.5 KB
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| Lecture 15: Differentials, antiderivatives |
4.5 KB
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406.1 KB
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| Lecture 16: Differential equations, separation of variables |
4.9 KB
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407.4 KB
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| Lecture 18: Definite integrals |
6.4 KB
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432.1 KB
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| Lecture 19: First fundamental theorem of calculus |
5.8 KB
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415.5 KB
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| Lecture 20: Second fundamental theorem |
6.3 KB
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420.2 KB
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| Lecture 21: Applications to logarithms and geometry |
5.9 KB
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404.5 KB
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| Lecture 22: Volumes by disks and shells |
5.3 KB
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395.6 KB
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| Lecture 23: Work, average value, probability |
4.7 KB
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399.9 KB
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| Lecture 24: Numerical integration |
5.5 KB
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417.0 KB
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| Lecture 25: Exam 3 review |
4.6 KB
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410.5 KB
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| Lecture 27: Trigonometric integrals and substitution |
5.2 KB
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399.9 KB
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| Lecture 28: Integration by inverse substitution; completing the square |
5.5 KB
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404.0 KB
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| Lecture 29: Partial fractions |
5.0 KB
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405.0 KB
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| Lecture 30: Integration by parts, reduction formulae |
5.1 KB
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417.1 KB
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| Lecture 31: Parametric equations, arclength, surface area |
4.8 KB
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406.1 KB
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| Lecture 32: Polar coordinates; area in polar coordinates |
4.6 KB
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412.7 KB
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| Lecture 33: Exam 4 review |
5.0 KB
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410.5 KB
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| Lecture 35: Indeterminate forms - L'Hôspital's rule |
6.3 KB
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407.5 KB
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| Lecture 36: Improper integrals |
4.7 KB
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417.6 KB
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| Lecture 37: Infinite series and convergence tests |
4.8 KB
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439.1 KB
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| Lecture 38: Taylor's series |
4.7 KB
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419.6 KB
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| Lecture 39: Final review |
5.1 KB
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374.2 KB
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| Information | Format | Size |
| MIT18.01JF07_files.xml | Metadata | [file] |
| MIT18.01JF07_meta.xml | Metadata | 1.7 KB |
| MIT18.01JF07_reviews.xml | Metadata | 2.0 KB |




Reviewer:
Pdpinch -
Subject:
Lecture 8 was an exam
Thanks for the stars!
As noted in the collection description at the top of the page, Lecture 8 was an exam and wasn't recorded.
Reviewer:
kitoy -




Subject:
Missing file?
Where is Lecture 8?
Reviewer:
Todd Carnes -
Subject:
@Liam
Considering that the files have been downloaded over 140,000, I'd say it is pretty safe to say the problem's on your end and NOT at the internet archive.
Reviewer:
liam.beistle@ttu.edu -
Subject:
Great Value
I see great value here but my Win 7(64) has failed for two weeks to allow me to download the files completely. I have used IE9, Chrome, FireFox. The file downloads suspend, end, or complete with less than full file. I even logged in as a member and the problem persists. I am now looking at the archive as the problem not the implementation. I am hoping to find an ftp location to try Filezilla. And to download via a Fedora OS. For now, I have to rate this as no rating until it can be down loaded. I have Norton and have turned it both on and off. No joy here.